Here's how to find the surface area of the cylinder:
**Step 1: Find the area of the circular base.**
The area of a circle is given by the formula πr², where r is the radius. In this case, the radius is 12 inches. So, the area of the base is:
πr² = 3.14 * 12² = 452.16 square inches
**Step 2: Find the lateral area.**
The lateral area is the area of the curved side of the cylinder. It can be calculated using the formula:
2πrh, where r is the radius and h is the height.
In this case, the radius is 12 inches and the height is 17 inches. So, the lateral area is:
2πrh = 2 * 3.14 * 12 * 17 = 1319.44 square inches
**Step 3: Add the areas of the two bases and the lateral area.**
Total surface area = 2 * base area + lateral area
Total surface area = 2 * 452.16 + 1319.44 = 2223.76 square inches
**Therefore, the surface area of the cylinder is approximately 2223.76 square inches.**
